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2 | 2 | r"""
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3 | 3 | FindStat - the search engine for combinatorial statistics and maps
|
4 | 4 |
|
5 |
| -The Sage interface to the FindStat database is:: |
| 5 | +The interface to the FindStat database is |
6 | 6 |
|
7 | 7 | sage: findstat()
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8 | 8 | The Combinatorial Statistic Finder (https://www.findstat.org/)
|
9 | 9 |
|
10 |
| -We use the following three notions: |
| 10 | +We use the following three notions |
11 | 11 |
|
12 | 12 | - A *combinatorial collection* is a set `S` with interesting combinatorial properties,
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13 | 13 | - a *combinatorial map* is a combinatorially interesting map `f: S \to S'` between combinatorial collections, and
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14 | 14 | - a *combinatorial statistic* is a combinatorially interesting map `s: S \to \ZZ`.
|
15 | 15 |
|
16 |
| -You can use the Sage interface to: |
| 16 | +You can use the FindStat interface to |
17 | 17 |
|
18 | 18 | - identify a combinatorial statistic or map given the values on a few small objects,
|
19 | 19 | - obtain more terms, formulae, references, etc. for a given statistic or map,
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20 | 20 | - edit statistics and maps and submit new statistics.
|
21 | 21 |
|
22 |
| -The main entry points to the database is |
| 22 | +The main entry points to the database are |
23 | 23 |
|
24 | 24 | - :func:`findstat` to search for matching statistics,
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25 | 25 | - :func:`findmap` to search for matching maps.
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@@ -902,7 +902,7 @@ def findstat(query=None, values=None, distribution=None, domain=None,
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902 | 902 | must be ``None``.
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903 | 903 |
|
904 | 904 | - a list of pairs of the form ``(object, value)``, or a
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905 |
| - dictionary from sage objects to integer values. The keyword |
| 905 | + dictionary from Sage objects to integer values. The keyword |
906 | 906 | arguments ``depth`` and ``max_values`` are passed to the
|
907 | 907 | finder, ``values`` and ``distribution`` must be ``None``.
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908 | 908 |
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@@ -1155,7 +1155,7 @@ def findmap(*args, **kwargs):
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1155 | 1155 | forms:
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1156 | 1156 |
|
1157 | 1157 | - a list of pairs of the form ``(object, value)``, or a
|
1158 |
| - dictionary from sage objects to sage objects. |
| 1158 | + dictionary from Sage objects to Sage objects. |
1159 | 1159 |
|
1160 | 1160 | - a list of pairs of the form ``(list of objects, list of
|
1161 | 1161 | values)``, or a single pair of the form ``(list of objects,
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@@ -1755,7 +1755,7 @@ def set_references_raw(self, value):
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1755 | 1755 |
|
1756 | 1756 | def sage_code(self):
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1757 | 1757 | r"""
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1758 |
| - Return the sage code associated with the statistic or map. |
| 1758 | + Return the Sage code associated with the statistic or map. |
1759 | 1759 |
|
1760 | 1760 | OUTPUT:
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1761 | 1761 |
|
@@ -1834,7 +1834,7 @@ def first_terms(self):
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1834 | 1834 |
|
1835 | 1835 | OUTPUT:
|
1836 | 1836 |
|
1837 |
| - A dictionary from sage objects representing an element of the |
| 1837 | + A dictionary from Sage objects representing an element of the |
1838 | 1838 | appropriate collection to integers.
|
1839 | 1839 |
|
1840 | 1840 | This method is overridden in :class:`FindStatStatisticQuery`.
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@@ -2253,7 +2253,7 @@ def set_first_terms(self, values):
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2253 | 2253 | INPUT:
|
2254 | 2254 |
|
2255 | 2255 | - a list of pairs of the form ``(object, value)`` where
|
2256 |
| - ``object`` is a sage object representing an element of the |
| 2256 | + ``object`` is a Sage object representing an element of the |
2257 | 2257 | appropriate collection and ``value`` is an integer.
|
2258 | 2258 |
|
2259 | 2259 | This information is used when submitting the statistic with
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@@ -2290,7 +2290,7 @@ def code(self):
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2290 | 2290 |
|
2291 | 2291 | OUTPUT:
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2292 | 2292 |
|
2293 |
| - A string. Contributors are encouraged to submit sage code in the form:: |
| 2293 | + A string. Contributors are encouraged to submit Sage code in the form:: |
2294 | 2294 |
|
2295 | 2295 | def statistic(x):
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2296 | 2296 | ...
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@@ -4053,9 +4053,9 @@ class FindStatCollection(Element,
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4053 | 4053 |
|
4054 | 4054 | - an integer designating the FindStat id of the collection, or
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4055 | 4055 |
|
4056 |
| - - a sage object belonging to a collection, or |
| 4056 | + - a Sage object belonging to a collection, or |
4057 | 4057 |
|
4058 |
| - - an iterable producing a sage object belonging to a collection. |
| 4058 | + - an iterable producing a Sage object belonging to a collection. |
4059 | 4059 |
|
4060 | 4060 | EXAMPLES::
|
4061 | 4061 |
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@@ -4269,7 +4269,7 @@ def in_range(self, element):
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4269 | 4269 |
|
4270 | 4270 | INPUT:
|
4271 | 4271 |
|
4272 |
| - - ``element`` -- a sage object that belongs to the collection. |
| 4272 | + - ``element`` -- a Sage object that belongs to the collection. |
4273 | 4273 |
|
4274 | 4274 | OUTPUT:
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4275 | 4275 |
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@@ -4444,7 +4444,7 @@ def from_string(self):
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4444 | 4444 |
|
4445 | 4445 | OUTPUT:
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4446 | 4446 |
|
4447 |
| - The function that produces the sage object given its FindStat |
| 4447 | + The function that produces the Sage object given its FindStat |
4448 | 4448 | representation as a string.
|
4449 | 4449 |
|
4450 | 4450 | EXAMPLES::
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